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Talk:Elementary recursive function

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This is the current revision of this page, as edited by David Eppstein (talk | contribs) at 23:09, 3 November 2024 (David Eppstein moved page Talk:ELEMENTARY to Talk:Elementary recursive function: Most of this content is about elementary recursive functions, not about the complexity class ELEMENTARY of decision problems solvable in time bounded by an elementary function. They are not the same thing and should be split, but the history should stay with the elementary recursive function article.). The present address (URL) is a permanent link to this version.
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I think it should be stated earlier in the article and more clearly that Elementary functions are a strict subset of Primitive Recursive functions. It isn't explained until the last paragraph of the article, and the summary at the top of the article is misleading in this regard.

  • I added a bit to the summary. Hopefully it clarifies and doesn't just confuse more hah. But you're right: there should be something in the summary to provide a clear relationship to the primitive recursive functions. Mofoburrell 20:50, 8 September 2007 (UTC)[reply]

It seems that the given definition is wrong: there is no way to implement decreasing functions. I don't see either how to encode f(x,y)=x+y. And the hint concerning the repetition of successors do not apply here since we do not have any iteration scheme. —Preceding unsigned comment added by 140.77.13.170 (talk) 14:43, 30 March 2009 (UTC)[reply]


Examples?

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An example for ELEMENTARY\NP would be nice… --Chricho (talk) 16:44, 4 January 2011 (UTC)[reply]

That makes no sense. ELEMENTARY is a class of functions, NP is a class of languages.—Emil J. 22:17, 10 April 2015 (UTC)[reply]